(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     15983,        593]
NotebookOptionsPosition[     11541,        445]
NotebookOutlinePosition[     14519,        534]
CellTagsIndexPosition[     14413,        528]
WindowTitle->CSIE
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"PauliSigma\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/PauliSigma"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/CSIE\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/CSIE"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/CSIE.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50165], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSIE", 
             ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["CSIE", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"CSIE", "[", "i", "]"}]], "InlineFormula"],
     " \[LineSeparator]can be used as input for D-4-dimensional ",
     Cell[BoxData[
      SuperscriptBox["\[Sigma]", "i"]], "InlineFormula"],
     " with D-4-dimensional Cartesian index i and is transformed into \
PauliSigma[CartesianIndex[i,D-4],D-4] by FeynCalcInternal."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->1306816070],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1136366839],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CSIE", "[", "i", "]"}]], "Input",
 CellTags->"GA",
 CellLabel->"In[1]:=",
 CellID->192317475],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   OverscriptBox[
    FormBox[
     StyleBox["\<\"\[Sigma]\"\>",
      StripOnInput->False,
      FontWeight->Bold],
     TraditionalForm], "^"], 
   FormBox[
    FormBox[
     StyleBox["i",
      StripOnInput->False,
      FontWeight->Bold],
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{25, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GA",
 CellLabel->"Out[1]=",
 CellID->1813105389]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"CSIE", "[", 
   RowBox[{"i", ",", "j"}], "]"}], "-", 
  RowBox[{"CSIE", "[", 
   RowBox[{"j", ",", "i"}], "]"}]}]], "Input",
 CellTags->"GA",
 CellLabel->"In[2]:=",
 CellID->950175955],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{
    FormBox[
     SuperscriptBox[
      OverscriptBox[
       FormBox[
        StyleBox["\<\"\[Sigma]\"\>",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"], 
      FormBox[
       FormBox[
        StyleBox["i",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm],
       TraditionalForm]],
     TraditionalForm], ".", 
    FormBox[
     SuperscriptBox[
      OverscriptBox[
       FormBox[
        StyleBox["\<\"\[Sigma]\"\>",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"], 
      FormBox[
       FormBox[
        StyleBox["j",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm],
       TraditionalForm]],
     TraditionalForm]}], "-", 
   RowBox[{
    FormBox[
     SuperscriptBox[
      OverscriptBox[
       FormBox[
        StyleBox["\<\"\[Sigma]\"\>",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"], 
      FormBox[
       FormBox[
        StyleBox["j",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm],
       TraditionalForm]],
     TraditionalForm], ".", 
    FormBox[
     SuperscriptBox[
      OverscriptBox[
       FormBox[
        StyleBox["\<\"\[Sigma]\"\>",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"], 
      FormBox[
       FormBox[
        StyleBox["i",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm],
       TraditionalForm]],
     TraditionalForm]}]}], TraditionalForm]], "Output",
 ImageSize->{116, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GA",
 CellLabel->"Out[2]=",
 CellID->539719871]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"StandardForm", "[", 
  RowBox[{"FCI", "[", 
   RowBox[{"CSIE", "[", "i", "]"}], "]"}], "]"}]], "Input",
 CellTags->"GA",
 CellLabel->"In[3]:=",
 CellID->872281918],

Cell[BoxData[
 RowBox[{"PauliSigma", "[", 
  RowBox[{
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"i", ",", 
     RowBox[{
      RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{
    RowBox[{"-", "4"}], "+", "D"}]}], "]"}]], "Output",
 ImageSize->{350, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GA",
 CellLabel->"Out[3]//StandardForm=",
 CellID->1097057211]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CSIE", "[", 
  RowBox[{"i", ",", "j", ",", "k", ",", "l"}], "]"}]], "Input",
 CellTags->"GA",
 CellLabel->"In[4]:=",
 CellID->1064432869],

Cell[BoxData[
 FormBox[
  RowBox[{
   FormBox[
    SuperscriptBox[
     OverscriptBox[
      FormBox[
       StyleBox["\<\"\[Sigma]\"\>",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"], 
     FormBox[
      FormBox[
       StyleBox["i",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm]],
    TraditionalForm], ".", 
   FormBox[
    SuperscriptBox[
     OverscriptBox[
      FormBox[
       StyleBox["\<\"\[Sigma]\"\>",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"], 
     FormBox[
      FormBox[
       StyleBox["j",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm]],
    TraditionalForm], ".", 
   FormBox[
    SuperscriptBox[
     OverscriptBox[
      FormBox[
       StyleBox["\<\"\[Sigma]\"\>",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"], 
     FormBox[
      FormBox[
       StyleBox["k",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm]],
    TraditionalForm], ".", 
   FormBox[
    SuperscriptBox[
     OverscriptBox[
      FormBox[
       StyleBox["\<\"\[Sigma]\"\>",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"], 
     FormBox[
      FormBox[
       StyleBox["l",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm]],
    TraditionalForm]}], TraditionalForm]], "Output",
 ImageSize->{107, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GA",
 CellLabel->"Out[4]=",
 CellID->714050867]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"StandardForm", "[", 
  RowBox[{"CSIE", "[", 
   RowBox[{"i", ",", "j", ",", "k", ",", "l"}], "]"}], "]"}]], "Input",
 CellTags->"GA",
 CellLabel->"In[5]:=",
 CellID->1945449635],

Cell[BoxData[
 RowBox[{
  RowBox[{"CSIE", "[", "i", "]"}], ".", 
  RowBox[{"CSIE", "[", "j", "]"}], ".", 
  RowBox[{"CSIE", "[", "k", "]"}], ".", 
  RowBox[{"CSIE", "[", "l", "]"}]}]], "Output",
 ImageSize->{263, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GA",
 CellLabel->"Out[5]//StandardForm=",
 CellID->148881480]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["PauliSigma",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/PauliSigma",
  ButtonNote->"PauliSigma"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso",
 CellID->119070656]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"CSIE",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 3, 21.214203}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "CSIE[i] can be used as input for D-4-dimensional \\[Sigma]^i with \
D-4-dimensional Cartesian index i and is transformed into \
PauliSigma[CartesianIndex[i,D-4],D-4] by FeynCalcInternal.", "synonyms" -> {},
     "tabletags" -> {}, "title" -> "CSIE", "titlemodifier" -> "", 
    "windowtitle" -> "CSIE", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/CSIE"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->1306816070]},
 "GA"->{
  Cell[5092, 158, 117, 4, 27, "Input",
   CellTags->"GA",
   CellID->192317475],
  Cell[5212, 164, 507, 21, 38, "Output",
   CellTags->"GA",
   CellID->1813105389],
  Cell[5756, 190, 219, 8, 27, "Input",
   CellTags->"GA",
   CellID->950175955],
  Cell[5978, 200, 1799, 74, 38, "Output",
   CellTags->"GA",
   CellID->539719871],
  Cell[7814, 279, 187, 6, 27, "Input",
   CellTags->"GA",
   CellID->872281918],
  Cell[8004, 287, 409, 14, 51, "Output",
   CellTags->"GA",
   CellID->1097057211],
  Cell[8450, 306, 161, 5, 27, "Input",
   CellTags->"GA",
   CellID->1064432869],
  Cell[8614, 313, 1707, 72, 39, "Output",
   CellTags->"GA",
   CellID->714050867],
  Cell[10358, 390, 201, 6, 27, "Input",
   CellTags->"GA",
   CellID->1945449635],
  Cell[10562, 398, 356, 11, 51, "Output",
   CellTags->"GA",
   CellID->148881480]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 13431, 490},
 {"GA", 13561, 494}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[576, 21, 2989, 74, 53, "AnchorBarGrid",
 CellID->1],
Cell[3568, 97, 281, 11, 45, "ObjectNameGrid"],
Cell[3852, 110, 581, 15, 103, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->1306816070],
Cell[CellGroupData[{
Cell[4871, 148, 196, 6, 26, "ExampleSection",
 CellID->1136366839],
Cell[CellGroupData[{
Cell[5092, 158, 117, 4, 27, "Input",
 CellTags->"GA",
 CellID->192317475],
Cell[5212, 164, 507, 21, 38, "Output",
 CellTags->"GA",
 CellID->1813105389]
}, Open  ]],
Cell[CellGroupData[{
Cell[5756, 190, 219, 8, 27, "Input",
 CellTags->"GA",
 CellID->950175955],
Cell[5978, 200, 1799, 74, 38, "Output",
 CellTags->"GA",
 CellID->539719871]
}, Open  ]],
Cell[CellGroupData[{
Cell[7814, 279, 187, 6, 27, "Input",
 CellTags->"GA",
 CellID->872281918],
Cell[8004, 287, 409, 14, 51, "Output",
 CellTags->"GA",
 CellID->1097057211]
}, Open  ]],
Cell[CellGroupData[{
Cell[8450, 306, 161, 5, 27, "Input",
 CellTags->"GA",
 CellID->1064432869],
Cell[8614, 313, 1707, 72, 39, "Output",
 CellTags->"GA",
 CellID->714050867]
}, Open  ]],
Cell[CellGroupData[{
Cell[10358, 390, 201, 6, 27, "Input",
 CellTags->"GA",
 CellID->1945449635],
Cell[10562, 398, 356, 11, 51, "Output",
 CellTags->"GA",
 CellID->148881480]
}, Open  ]]
}, Open  ]],
Cell[10945, 413, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[11013, 418, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[11286, 432, 213, 8, 70, "SeeAlso",
 CellID->119070656]
}, Open  ]],
Cell[11514, 443, 23, 0, 70, "FooterCell"]
}
]
*)

(* End of internal cache information *)

